Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid [PDF]
The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria decision aid over the last decade are reviewed. They concern mainly a bipolar extension of both the Choquet integral and the Sugeno integral, interesting particular
Michel Grabisch, Christophe Labreuche
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Updating Choquet Integrals , Consequentialism and Dynamic Consistency [PDF]
Choquet capacities have been used to represent decision makers’ beliefs in order to generalise the expected utility approach. Conditional capacities have to be defined for dynamic choice situations where information may modify the decision maker future ...
André Lapied +2 more
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A characterization of the 2-additive Choquet integral through cardinal information [PDF]
In the context of multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity.
Michel Grabisch +2 more
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A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package [PDF]
The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their
Patrick MEYER +2 more
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An empirical study of statistical properties of Choquet and Sugeno integrals [PDF]
This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses on two topics: the distribution of the output of these integrals when the ...
Eric Raufaste, Michel Grabisch
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Nonlinear cross Gramians and gradient systems [PDF]
, 2007 We study the notion of cross Gramians for non-linear gradient systems, using the characterization in terms of prolongation and gradient extension associated to the system.
Jacquelien M. A. Scherpen +5 more
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A Discrete Choquet Integral for Ordered Systems [PDF]
A model for a Choquet integral for arbitrary finite set systems is presented. The model includes in particular the classical model on the system of all subsets of a finite set.
Ulrich Faigle, Michel Grabisch
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Real Options under Choquet-Brownian Ambiguity [PDF]
Real options models characterized by the presence of ambiguity have been recently proposed. But based on recursive multiple-priors approaches to solve ambiguity, these seminal models reduce individual preferences to extreme pessimism by considering only ...
André Lapied +2 more
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Autocontinuity and convergence theorems for the Choquet integral [PDF]
Our aim is to provide some convergence theorems for the Choquet integral with respect to various notions of convergence. For instance, the dominated convergence theorem for almost uniform convergence is related to autocontinuous set functions ...
Yann Rébillé
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